# Difference between revisions of "Twinning by inversion"

### From Online Dictionary of Crystallography

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+ | <Font color="blue"> Maclage par inversion </Font> (''Fr''). <Font color="red"> Inversionsverzwilligung </Font> (''Ge''). | ||

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== Definition == | == Definition == | ||

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The symmetry operation relating pairs of domain structures twinned by inversion may be represented by inversion through a point or by some other isometry equivalent to inversion under the point symmetry group of the domain structure. A two-domain-structure twin that is twinned by inversion is called an ''inversion twin'', but this term is not appropriate when there are more than two domain structures. Twinning by inversion can only occur in non-centrosymmetric structures. | The symmetry operation relating pairs of domain structures twinned by inversion may be represented by inversion through a point or by some other isometry equivalent to inversion under the point symmetry group of the domain structure. A two-domain-structure twin that is twinned by inversion is called an ''inversion twin'', but this term is not appropriate when there are more than two domain structures. Twinning by inversion can only occur in non-centrosymmetric structures. |

## Revision as of 06:53, 7 May 2006

Maclage par inversion (*Fr*). Inversionsverzwilligung (*Ge*).

## Definition

The symmetry operation relating pairs of domain structures twinned by inversion may be represented by inversion through a point or by some other isometry equivalent to inversion under the point symmetry group of the domain structure. A two-domain-structure twin that is twinned by inversion is called an *inversion twin*, but this term is not appropriate when there are more than two domain structures. Twinning by inversion can only occur in non-centrosymmetric structures.

## See also

Section 1.3 of *International Tables of Crystallography, Volume C*

Section 3.3 of *International Tables of Crystallography, Volume D*